In: Statistics and Probability
2) A researcher is interested in studying whether or not student athletes drink more alcohol than the college students in general. The average number of drinks per week a college student drinks is 6.94 drinks (SD = 3.4). What we conclude if we selected a sample of 40 student athletes and they drank an average of 8.25 drinks? What does the distribution of sample means for this scenario consist of? Explain your decision using the distribution of sample means in your explanation
This is a Z sample test for one population mean.
Here we have to test that student-athletes drink more alcohol than the college students.
I.e the hypothesised mean under test is 6.94 and population standard deviation is
We will consider and assume that the significance level is 0.05
Hence we have evidence to conclude that student-athletes drink more alcohol than the college students.
We have assumed that the sample distribution is normally distributed with mean 8.26 drinks and standard error =